All categories

3 years ago

Which table represents the same proportional relationship as the question y=36?

Mathematics

2 answers:

mezya [45]3 years ago

7 0

The third answer is ok

Stolb23 [73]3 years ago

3 0

Answer:

The answer is the third one.

x 0.5 2 3 6

y 16 72 108 216

Step-by-step explanation:

The equation y=36x is a linear equation and you can graph it by giving different numbers to the X in this example you have toput the different numbers of the X in the equation:

so you´d have to do is:

Y= 36(0.5)= 18

Y= 36(2)= 72

Y= 36(3)= 108

Y= 36(6)= 216

You can now affirm that the graph that correctly describe the proportional relationship is the third one.

You might be interested in

A random sample of 45 door-to-door salespersons were asked how long on average they were able to talk to the potential customer.

dimulka [17.4K]

Answer:

b. =8.5+1.96*3/SQRT(45), and =8.5-1.96*3/SQRT(45)

Step-by-step explanation:

Sample size (n) = 45

Sample mean (M) = 8.5 minutes

Variance (V) = 9 minutes

Z-score for a 95% confidence interval (z) = 1.96

A confidence interval is defined by the following expression:

$M\pm z\sqrt{\frac{V}{n} }$

Applying the given data:

$8.5\pm 1.96\sqrt{\frac{9}{45} }\\8.5\pm 1.96\frac{3}{\sqrt 45}$

Writing in Excel statements, the limits of the interval would be

=8.5+1.96*3/SQRT(45), and =8.5-1.96*3/SQRT(45)

Therefore, the answer is alternative b.

8 0

2 years ago

You are dealt a hand of three cards, one at a time. Find the probability of each of the following. a) The first heart you get

boyakko [2]

Answer:

a) 0.145

b) 0.013

c) 0.783

d) 0.586

Step-by-step explanation:

a) there are always 52 cards in total, 13 hearts

Pa = 39/52 × 38/51 × 13/50 = 19266/132600 = 257/1700 =0.145

b) there are always 13 diamonds in a complete card

Pb = 13/52 × 12/51× 11/50 = 11/850 = 0.013

c) there are always 4 aces, and 48 that are not aces

Pc = 48/52 × 47/51 × 46/50 = 4324/5525 = 0.783

d) there are 13 hearts,to get at least one heart we have.

Pd = 1 - p

Where p is the probability of no hearts

p = 39/52 × 38/51 × 37/50 = 703/1700 = 0.414

Pd = 1 - 0.414

Pd = 0.586

4 0

3 years ago

Write the equation of the mirror line for the segment with endpoints (5, 4) and (-1, -1).

Kobotan [32]

The equation of the mirror line in standard form is: 10y+12x=39. The reflection of the point is A'(1,2)

Step-by-step explanation:

Given that the endpoints of the segments are: (5,4) and (-1,-1) then the equation of the mirror line will be;

slope=m=Δy/Δx

Δy= -1 - 4= -5

Δx= -1-5 = -6

m= -5/-6 = 5/6

For the equation, taking point (5,4), and (x,y), it will be;

m=Δy/Δx

5/6= y-4/x-5

5(x-5) = 6(y-4)

5x-25 =6y-24

5x=6y-24+25

5x=6y+1

5x-1=6y

6y=5x-1 -------divide both sides by 6

y=5/6x -1/6 -------Equation of line segment

The mirror line is a perpendicular bisector of the segment.This means it passes at the midpoint of the segment.

Finding the midpoint of the segment will be;

{(x₁+x₂)/2 ,(y₁+y₂)/2}

{(5+-1)/2, (4+-1)/2} =(4/2, 3/2) =(2, 3/2)

Using the coordinate point of the midpoint, you can find the equation of the mirror line knowing that the slope will be -6/5 because the mirror line is perpendicular to the line segment that has a slope of 5/6.

Finding the equation of the mirror line using point (2, 3/2), (x,y) and m= -6/5

$\frac{y-1.5}{x-2} =\frac{-6}{5} \\\\5(y-1.5)=-6(x-2)\\5y-7.5=-6x+12\\5y-\frac{15}{2} =-6x+12\\\\10y-15=-12x+24\\\\10y+12x=15+24\\\\10y+12x=39$

The equation of the mirror line in standard form is;

10y+12x=39

2. Given point A(3,-2) and line y=1/2x -1 ,you can use a graph tool to plot the equation for the mirror line, plot the object point and locate the image point across the mirror line.

From the graph, the image is A'(1,2)

Learn More

Reflection of a point :brainly.com/question/12865568

Keywords : equation, mirror line, segment, endpoints, reflection

#LearnwithBrainly